Solve 450[1+10*0.1*0.701/0.1+0.701]^2=

$$450 [ 1 + 10 \cdot \frac { 0.1 \cdot 0.701 } { 0.1 + 0.701 } ] ^ { 2 } =$$

Evaluate

$$\frac{112800200}{71289}\approx 1582.294603656$$

Solution Steps

Multiply 0.1 and 0.701 to get 0.0701.

$$450\left(1+10\times \frac{0.0701}{0.1+0.701}\right)^{2}$$

Add 0.1 and 0.701 to get 0.801.

$$450\left(1+10\times \frac{0.0701}{0.801}\right)^{2}$$

Expand \frac{0.0701}{0.801} by multiplying both numerator and the denominator by 10000.

$$450\left(1+10\times \frac{701}{8010}\right)^{2}$$

Multiply 10 and \frac{701}{8010} to get \frac{701}{801}.

$$450\left(1+\frac{701}{801}\right)^{2}$$

Add 1 and \frac{701}{801} to get \frac{1502}{801}.

$$450\times \left(\frac{1502}{801}\right)^{2}$$

Calculate \frac{1502}{801} to the power of 2 and get \frac{2256004}{641601}.

$$450\times \frac{2256004}{641601}$$

Multiply 450 and \frac{2256004}{641601} to get \frac{112800200}{71289}.

$$\frac{112800200}{71289}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 751 ^ {2}}{3 ^ {2} \cdot 89 ^ {2}} = 1582\frac{21002}{71289} = 1582.294603655543$$